---
_id: '2056'
abstract:
- lang: eng
  text: Nonlinear spatial transforms and fuzzy pattern classification with unimodal
    potential functions are established in signal processing. They have proved to
    be excellent tools in feature extraction and classification. In this paper, we
    will present a hardware-accelerated image processing and classification system
    which is implemented on one field-programmable gate array (FPGA). Nonlinear discrete
    circular transforms generate a feature vector. The features are analyzed by a
    fuzzy classifier. This principle can be used for feature extraction, pattern recognition,
    and classification tasks. Implementation in radix-2 structures is possible, allowing
    fast calculations with a computational complexity of up to. Furthermore, the pattern
    separability properties of these transforms are better than those achieved with
    the well-known method based on the power spectrum of the Fourier Transform, or
    on several other transforms. Using different signal flow structures, the transforms
    can be adapted to different image and signal processing applications.
author:
- first_name: Volker
  full_name: Lohweg, Volker
  id: '1804'
  last_name: Lohweg
  orcid: 0000-0002-3325-7887
- first_name: Carsten
  full_name: Diederichs, Carsten
  id: '44209'
  last_name: Diederichs
- first_name: Dietmar
  full_name: Müller, Dietmar
  last_name: Müller
citation:
  ama: 'Lohweg V, Diederichs C, Müller D. Algorithms for Hardware-Based Pattern Recognition.
    <i>EURASIP journal on applied signal processing : a publication of the European
    Association for Speech, Signal, and Image Processing </i>. 2004;12(1):1912-1920.
    doi:<a href="https://doi.org/10.1155/S1110865704404247">https://doi.org/10.1155/S1110865704404247</a>'
  apa: 'Lohweg, V., Diederichs, C., &#38; Müller, D. (2004). Algorithms for Hardware-Based
    Pattern Recognition. <i>EURASIP Journal on Applied Signal Processing : A Publication
    of the European Association for Speech, Signal, and Image Processing </i>, <i>12</i>(1),
    1912–1920. <a href="https://doi.org/10.1155/S1110865704404247">https://doi.org/10.1155/S1110865704404247</a>'
  bjps: '<b>Lohweg V, Diederichs C and Müller D</b> (2004) Algorithms for Hardware-Based
    Pattern Recognition. <i>EURASIP journal on applied signal processing : a publication
    of the European Association for Speech, Signal, and Image Processing </i> <b>12</b>,
    1912–1920.'
  chicago: 'Lohweg, Volker, Carsten Diederichs, and Dietmar Müller. “Algorithms for
    Hardware-Based Pattern Recognition.” <i>EURASIP Journal on Applied Signal Processing :
    A Publication of the European Association for Speech, Signal, and Image Processing
    </i> 12, no. 1 (2004): 1912–20. <a href="https://doi.org/10.1155/S1110865704404247">https://doi.org/10.1155/S1110865704404247</a>.'
  chicago-de: 'Lohweg, Volker, Carsten Diederichs und Dietmar Müller. 2004. Algorithms
    for Hardware-Based Pattern Recognition. <i>EURASIP journal on applied signal processing :
    a publication of the European Association for Speech, Signal, and Image Processing
    </i> 12, Nr. 1: 1912–1920. doi:<a href="https://doi.org/10.1155/S1110865704404247,">https://doi.org/10.1155/S1110865704404247,</a>
    .'
  din1505-2-1: '<span style="font-variant:small-caps;">Lohweg, Volker</span> ; <span
    style="font-variant:small-caps;">Diederichs, Carsten</span> ; <span style="font-variant:small-caps;">Müller,
    Dietmar</span>: Algorithms for Hardware-Based Pattern Recognition. In: <i>EURASIP
    journal on applied signal processing : a publication of the European Association
    for Speech, Signal, and Image Processing </i> Bd. 12. Akron, Ohio, Hindawi Publ.
    (2004), Nr. 1, S. 1912–1920'
  havard: 'V. Lohweg, C. Diederichs, D. Müller, Algorithms for Hardware-Based Pattern
    Recognition, EURASIP Journal on Applied Signal Processing : A Publication of the
    European Association for Speech, Signal, and Image Processing . 12 (2004) 1912–1920.'
  ieee: 'V. Lohweg, C. Diederichs, and D. Müller, “Algorithms for Hardware-Based Pattern
    Recognition,” <i>EURASIP journal on applied signal processing : a publication
    of the European Association for Speech, Signal, and Image Processing </i>, vol.
    12, no. 1, pp. 1912–1920, 2004.'
  mla: 'Lohweg, Volker, et al. “Algorithms for Hardware-Based Pattern Recognition.”
    <i>EURASIP Journal on Applied Signal Processing : A Publication of the European
    Association for Speech, Signal, and Image Processing </i>, vol. 12, no. 1, Hindawi
    Publ., 2004, pp. 1912–20, doi:<a href="https://doi.org/10.1155/S1110865704404247">https://doi.org/10.1155/S1110865704404247</a>.'
  short: 'V. Lohweg, C. Diederichs, D. Müller, EURASIP Journal on Applied Signal Processing :
    A Publication of the European Association for Speech, Signal, and Image Processing  12
    (2004) 1912–1920.'
  ufg: '<b>Lohweg, Volker et. al. (2004)</b>: Algorithms for Hardware-Based Pattern
    Recognition, in: <i>EURASIP journal on applied signal processing : a publication
    of the European Association for Speech, Signal, and Image Processing </i> <i>12</i>
    (<i>1</i>), S. 1912–1920.'
  van: 'Lohweg V, Diederichs C, Müller D. Algorithms for Hardware-Based Pattern Recognition.
    EURASIP journal on applied signal processing : a publication of the European Association
    for Speech, Signal, and Image Processing . 2004;12(1):1912–20.'
date_created: 2019-11-29T13:09:05Z
date_updated: 2023-03-15T13:49:38Z
department:
- _id: DEP5023
doi: https://doi.org/10.1155/S1110865704404247
intvolume: '        12'
issue: '1'
keyword:
- image processing
- nonlinear circular transforms
- feature extraction
- fuzzy pattern recognition
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://asp-eurasipjournals.springeropen.com/track/pdf/10.1155/S1110865704404247
oa: '1'
page: 1912-1920
place: Akron, Ohio
publication: 'EURASIP journal on applied signal processing : a publication of the
  European Association for Speech, Signal, and Image Processing '
publication_identifier:
  issn:
  - '1110-8657 '
publication_status: published
publisher: Hindawi Publ.
status: public
title: Algorithms for Hardware-Based Pattern Recognition
type: journal_article
user_id: '15514'
volume: 12
year: 2004
...
---
_id: '2054'
author:
- first_name: Carsten
  full_name: Diederichs, Carsten
  id: '44209'
  last_name: Diederichs
- first_name: Volker
  full_name: Lohweg, Volker
  id: '1804'
  last_name: Lohweg
  orcid: 0000-0002-3325-7887
citation:
  ama: 'Diederichs C, Lohweg V. An Image-Processing-System-On-Chip Based on Nonlinear
    Generalized Circular Transforms and Fuzzy Pattern Classification. In: Sicuranza
    G, ed. <i>IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing</i>.
    Grade- Trieste, Italy: EURASIP; 2003.'
  apa: 'Diederichs, C., &#38; Lohweg, V. (2003). An Image-Processing-System-On-Chip
    Based on Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification.
    In G. Sicuranza (Ed.), <i>IEEE-EURASIP Workshop on Nonlinear Signal and Image
    Processing</i>. Grade- Trieste, Italy: EURASIP.'
  bjps: '<b>Diederichs C and Lohweg V</b> (2003) An Image-Processing-System-On-Chip
    Based on Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification.
    In Sicuranza G (ed.), <i>IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing</i>.
    Grade- Trieste, Italy: EURASIP.'
  chicago: 'Diederichs, Carsten, and Volker Lohweg. “An Image-Processing-System-On-Chip
    Based on Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification.”
    In <i>IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing</i>, edited
    by Giovanni Sicuranza. Grade- Trieste, Italy: EURASIP, 2003.'
  chicago-de: 'Diederichs, Carsten und Volker Lohweg. 2003. An Image-Processing-System-On-Chip
    Based on Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification.
    In: <i>IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing</i>, hg.
    von Giovanni Sicuranza. Grade- Trieste, Italy: EURASIP.'
  din1505-2-1: '<span style="font-variant:small-caps;">Diederichs, Carsten</span>
    ; <span style="font-variant:small-caps;">Lohweg, Volker</span>: An Image-Processing-System-On-Chip
    Based on Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification.
    In: <span style="font-variant:small-caps;">Sicuranza, G.</span> (Hrsg.): <i>IEEE-EURASIP
    Workshop on Nonlinear Signal and Image Processing</i>. Grade- Trieste, Italy :
    EURASIP, 2003'
  havard: 'C. Diederichs, V. Lohweg, An Image-Processing-System-On-Chip Based on Nonlinear
    Generalized Circular Transforms and Fuzzy Pattern Classification, in: G. Sicuranza
    (Ed.), IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing, EURASIP,
    Grade- Trieste, Italy, 2003.'
  ieee: C. Diederichs and V. Lohweg, “An Image-Processing-System-On-Chip Based on
    Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification,” in
    <i>IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing</i>, 2003.
  mla: Diederichs, Carsten, and Volker Lohweg. “An Image-Processing-System-On-Chip
    Based on Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification.”
    <i>IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing</i>, edited
    by Giovanni Sicuranza, EURASIP, 2003.
  short: 'C. Diederichs, V. Lohweg, in: G. Sicuranza (Ed.), IEEE-EURASIP Workshop
    on Nonlinear Signal and Image Processing, EURASIP, Grade- Trieste, Italy, 2003.'
  ufg: '<b>Diederichs, Carsten/Lohweg, Volker (2003)</b>: An Image-Processing-System-On-Chip
    Based on Nonlinear Generalized Circular Transforms and Fuzzy Pattern Classification,
    in: Giovanni Sicuranza (Hg.): <i>IEEE-EURASIP Workshop on Nonlinear Signal and
    Image Processing</i>, Grade- Trieste, Italy.'
  van: 'Diederichs C, Lohweg V. An Image-Processing-System-On-Chip Based on Nonlinear
    Generalized Circular Transforms and Fuzzy Pattern Classification. In: Sicuranza
    G, editor. IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing. Grade-
    Trieste, Italy: EURASIP; 2003.'
date_created: 2019-11-29T12:58:24Z
date_updated: 2023-03-15T13:49:38Z
department:
- _id: DEP5023
editor:
- first_name: Giovanni
  full_name: Sicuranza, Giovanni
  last_name: Sicuranza
language:
- iso: eng
place: Grade- Trieste, Italy
publication: IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing
publisher: EURASIP
status: public
title: An Image-Processing-System-On-Chip Based on Nonlinear Generalized Circular
  Transforms and Fuzzy Pattern Classification
type: conference
user_id: '45673'
year: 2003
...